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Finding the Fourth Proportional to 4,021.66, 6,036.66 and 2,462.74

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Solution

The fourth proportional to 4,021.66, 6,036.66 and 2,462.74 is: 3,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021.66 : 6,036.66 = 2,462.74 : x
  2. Step 2: Convert to fraction form
    4,021.66/6,036.66 = 2,462.74/x
  3. Step 3: Cross multiply
    4,021.66x = 6,036.66 × 2,462.74
  4. Step 4: Simplify right side
    4,021.66x = 14,866,724.05
  5. Step 5: Solve for x
    x = 14,866,724.05/4,021.66
  6. Step 6: Final answer
    x = 3,696.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.